To determine The magnitude of the electric force acting on any one of the charges placed at vertices of the equilateral triangle. Explanation Since all three charges are negative charges, each charge experiences repulsive force from other two charges. Write the expression for the repulsive force acting on each charge by other charge. F = k q 2 L 2 (I) Here, k is the coulomb constant, q is the charge at each vertex and L is the distance between the charges. Since distance between each charge is same, repulsive force between each pair of charge is same. The following figure gives the direction of forces acting on a charge at vertex. Since angle that each force makes with x axis is 30 ° , x component and y component of both forces are equal. Since each charge is at symmetrical position from other charges, magnitude of total force on each charge is equal. Consider one of the charges as shown in figure 1. From the figure write the x component of force acting on the charge. F x = F cos 30 ° Since there are two forces and their x components act in same direction, net force is twice the above force. Write the expression for the net force acting on the considered charge along x direction. F xtotal = 2 F cos 30 ° Write the expression for the y component of force acting on the charge figure 1. F y = F sin 30 ° From figure 1, y component of force on the considered charge due to the other two charges are equal and opposite and they cancel each other. Write the net force along y direction. F ytotal = F sin 30 ° − F sin 30 ° = 0 N Since net force along y direction is zero, total force is equal to x component of net force

3rd Edition

ISBN: 9780073512150

Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Videos

Question

Chapter 16.3, Problem 16.4PP

To determine

The magnitude of the electric force acting on any one of the charges placed at vertices of the equilateral triangle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16.3, Problem 16.3PP

Chapter 16.4, Problem 16.5PP

Students have asked these similar questions

No chatgpt pls will upvote

a cubic foot of argon at 20 degrees celsius is isentropically compressed from 1 atm to 425 KPa. What is the new temperature and density?

Calculate the variance of the calculated accelerations. The free fall height was 1753 mm. The measured release and catch times were: 222.22 800.00 61.11 641.67 0.00 588.89 11.11 588.89 8.33 588.89 11.11 588.89 5.56 586.11 2.78 583.33 Give in the answer window the calculated repeated experiment variance in m/s2.

Chapter 16 Solutions

Physics

Ch. 16.1 - 16.1 A glass rod and piece of silk are both...Ch. 16.1 - Prob. 16.1PP Ch. 16.2 - Prob. 16.2PP Ch. 16.3 - Prob. 16.3CP Ch. 16.3 - 16.3 Electric Force on a Point Charge Suppose...Ch. 16.3 - 16.4 Three Point Charges Three identical point...Ch. 16.4 - 16.5 Effect of Doubling the Charge on the Hanging...Ch. 16.4 - Practice Problem 16.6 Electric Field at Point P...Ch. 16.4 - Practice Problem 16.7 Electric Field due to Two...Ch. 16.4 - 16.4 What is the direction of the electric field...

Ch. 16.4 - Prob. 16.8PP Ch. 16.5 - Prob. 16.5CP Ch. 16.5 - 16.9 Slowing Some Protons If a beam of protons...Ch. 16.5 - Prob. 16.10PP Ch. 16.6 - Prob. 16.11PP Ch. 16.7 - Prob. 16.12PP Ch. 16.7 - Prob. 16.13PP Ch. 16 - Prob. 1CQ Ch. 16 - Prob. 2CQ Ch. 16 - Prob. 3CQ Ch. 16 - Prob. 4CQ Ch. 16 - Prob. 5CQ Ch. 16 - Prob. 6CQ Ch. 16 - Prob. 7CQ Ch. 16 - Prob. 8CQ Ch. 16 - Prob. 9CQ Ch. 16 - Prob. 10CQ Ch. 16 - Prob. 11CQ Ch. 16 - Prob. 12CQ Ch. 16 - 13. An electroscope consists of a conducting...Ch. 16 - Prob. 14CQ Ch. 16 - Prob. 15CQ Ch. 16 - 16. In some textbooks, the electric field is...Ch. 16 - Prob. 17CQ Ch. 16 - Prob. 18CQ Ch. 16 - Prob. 19CQ Ch. 16 - Prob. 1MCQ Ch. 16 - 2. In electrostatic equilibrium, the excess...Ch. 16 - Prob. 3MCQ Ch. 16 - Prob. 4MCQ Ch. 16 - Prob. 5MCQ Ch. 16 - 6. A tiny charged pellet of mass m is suspended at...Ch. 16 - Prob. 7MCQ Ch. 16 - Prob. 8MCQ Ch. 16 - Prob. 9MCQ Ch. 16 - Prob. 10MCQ Ch. 16 - 1. Find the total positive charge of all the...Ch. 16 - Prob. 2P Ch. 16 - Prob. 3P Ch. 16 - Prob. 4P Ch. 16 - Prob. 5P Ch. 16 - 6. A positively charged rod is brought near two...Ch. 16 - 7. A metal sphere A has charge Q. Two other...Ch. 16 - Prob. 8P Ch. 16 - Prob. 9P Ch. 16 - Prob. 10P Ch. 16 - Prob. 11P Ch. 16 - Prob. 12P Ch. 16 - Prob. 13P Ch. 16 - 14. How many electrons must be removed from each...Ch. 16 - Prob. 15P Ch. 16 - 16. Two metal spheres separated by a distance much...Ch. 16 - 17. In the figure, a third point charge − q is...Ch. 16 - 18. Two point charges are separated by a distance...Ch. 16 - 19. A K+ ion and a Cl− ion are directly across...Ch. 16 - Prob. 20P Ch. 16 - Prob. 21P Ch. 16 - Prob. 22P Ch. 16 - Prob. 23P Ch. 16 - Prob. 24P Ch. 16 - Prob. 25P Ch. 16 - Prob. 26P Ch. 16 - Prob. 27P Ch. 16 - 28. The electric field across a cell membrane is...Ch. 16 - Prob. 29P Ch. 16 - Prob. 30P Ch. 16 - Prob. 31P Ch. 16 - Prob. 32P Ch. 16 - Prob. 33P Ch. 16 - 34. What is the electric field at x = d (point...Ch. 16 - 35. What is the electric field at x = 2d (point S...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - 39. Sketch the electric field lines in the plane...Ch. 16 - 40. Sketch the electric field lines near two...Ch. 16 - 41. Find the electric field at point B, midway...Ch. 16 - 42. Find the electric field at point C, the center...Ch. 16 - Problems 41-44. Two tiny objects with equal...Ch. 16 - 44. Where would you place a third small object...Ch. 16 - Prob. 45P Ch. 16 - 46. Two equal charges (Q = +1.00 nC) are situated...Ch. 16 - 47. Suppose a charge q is placed at point x = 0, y...Ch. 16 - 48. Two point charges, q1 = +20.0 nC and q2 =...Ch. 16 - Prob. 49P Ch. 16 - 50. In each of six situations, a particle (mass m,...Ch. 16 - 51. An electron is placed in a uniform electric...Ch. 16 - 52. An electron is projected horizontally into the...Ch. 16 - 53. A horizontal beam of electrons initially...Ch. 16 - 54. A particle with mass 2.30 g and charge +10.0...Ch. 16 - Problems 54 and 55 55. Consider the same...Ch. 16 - 56. ✦ Some forms of cancer can be treated using...Ch. 16 - Prob. 57P Ch. 16 - Prob. 58P Ch. 16 - Problems 59-61. A conducting sphere (radius a) is...Ch. 16 - 60. The inner sphere has a net charge of +6 μC and...Ch. 16 - Prob. 61P Ch. 16 - Prob. 62P Ch. 16 - Prob. 63P Ch. 16 - Prob. 64P Ch. 16 - Prob. 65P Ch. 16 - 66. A hollow conducting sphere of radius R carries...Ch. 16 - Prob. 67P Ch. 16 - Prob. 68P Ch. 16 - Prob. 69P Ch. 16 - Prob. 70P Ch. 16 - Prob. 71P Ch. 16 - Prob. 72P Ch. 16 - Prob. 73P Ch. 16 - Prob. 74P Ch. 16 - Prob. 75P Ch. 16 - 76. A thin, flat sheet of charge has a uniform...Ch. 16 - Prob. 77P Ch. 16 - 78. A parallel-plate capacitor consists of two...Ch. 16 - Prob. 79P Ch. 16 - Prob. 80P Ch. 16 - 81. In a thunderstorm, charge is separated through...Ch. 16 - 82. Two otherwise identical conducting spheres...Ch. 16 - 83. Two metal spheres of radius 5.0 cm carry net...Ch. 16 - 84. In the diagram, regions A and C extend far to...Ch. 16 - Prob. 85P Ch. 16 - Prob. 86P Ch. 16 - Prob. 87P Ch. 16 - 88. Consider two protons (charge +e), separated by...Ch. 16 - Prob. 89P Ch. 16 - 90. A raindrop inside a thundercloud has charge...Ch. 16 - 91. An electron beam in an oscilloscope is...Ch. 16 - 92. A point charge q1 = +5.0 μC is fixed in place...Ch. 16 - Prob. 93P Ch. 16 - 94. Object 4 has mass 90.0 g and hangs from an...Ch. 16 - Prob. 95P Ch. 16 - Prob. 96P Ch. 16 - Prob. 97P Ch. 16 - Prob. 98P Ch. 16 - Prob. 99P Ch. 16 - Prob. 100P Ch. 16 - Prob. 101P Ch. 16 - Prob. 102P Ch. 16 - Prob. 103P Ch. 16 - Prob. 104P Ch. 16 - Prob. 105P Ch. 16 - Prob. 106P Ch. 16 - Prob. 107P Ch. 16 - Prob. 108P Ch. 16 - Prob. 109P Ch. 16 - Prob. 110P Ch. 16 - Prob. 111P Ch. 16 - Prob. 112P Ch. 16 - Prob. 113P Ch. 16 - Prob. 114P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.